Pith Number

pith:ZPXSTQE7

pith:2006:ZPXSTQE77ITQKJTQZ4KAVRFHKM

not attested not anchored not stored refs pending

Calculus of the embedding functor and spaces of knots

Ismar Volic

arxiv:math/0601268 v1 · 2006-01-12 · math.AT · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZPXSTQE77ITQKJTQZ4KAVRFHKM}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

A Fox-Neuwirth Basis for the Sinha Spectral Sequence

Receipt and verification

First computed	2026-07-04T14:52:48.536195Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbef29c09ffa27052670cf140ac4a7530e4437672d28c89f58d4779b9cbbc499

Aliases

arxiv: math/0601268 · arxiv_version: math/0601268v1 · doi: 10.48550/arxiv.math/0601268 · pith_short_12: ZPXSTQE77ITQ · pith_short_16: ZPXSTQE77ITQKJTQ · pith_short_8: ZPXSTQE7

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZPXSTQE77ITQKJTQZ4KAVRFHKM \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: cbef29c09ffa27052670cf140ac4a7530e4437672d28c89f58d4779b9cbbc499

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67299ad08aa2124a8f3c953eae1d295287c438810e56d4ab582cfd57d70d84b1",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2006-01-12T00:00:14Z",
    "title_canon_sha256": "6ed8a33adde32793f4d4a7932ef55a986f16365916a174351fe5cf0a3afcf76d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0601268",
    "kind": "arxiv",
    "version": 1
  }
}